Search a number
-
+
2101031000 = 23535034177
BaseRepresentation
bin111110100111011…
…0011000001011000
312102102110102200222
41331032303001120
513300330443000
6544252215212
7103031316545
oct17516630130
95372412628
102101031000
11988a82762
124a776a508
1327638c213
1415d077bcc
15c46bca85
hex7d3b3058

2101031000 has 64 divisors (see below), whose sum is σ = 4927366080. Its totient is φ = 838540800.

The previous prime is 2101030999. The next prime is 2101031027. The reversal of 2101031000 is 1301012.

It is a super-2 number, since 2×21010310002 = 8828662525922000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 500912 + ... + 505088.

It is an arithmetic number, because the mean of its divisors is an integer number (76990095).

Almost surely, 22101031000 is an apocalyptic number.

2101031000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2463683040).

2101031000 is an abundant number, since it is smaller than the sum of its proper divisors (2826335080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2101031000 is a wasteful number, since it uses less digits than its factorization.

2101031000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4701 (or 4687 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 2101031000 is about 45837.0047014418. The cubic root of 2101031000 is about 1280.7886984976.

Adding to 2101031000 its reverse (1301012), we get a palindrome (2102332012).

The spelling of 2101031000 in words is "two billion, one hundred one million, thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 503 1000 1006 2012 2515 4024 4177 5030 8354 10060 12575 16708 20120 20885 25150 33416 41770 50300 62875 83540 100600 104425 125750 167080 208850 251500 417700 503000 522125 835400 1044250 2088500 2101031 4177000 4202062 8404124 10505155 16808248 21010310 42020620 52525775 84041240 105051550 210103100 262628875 420206200 525257750 1050515500 2101031000